561139569768960 has 5760 divisors, whose sum is σ = 2631252508346880. Its totient is φ = 110900879032320.

The previous prime is 561139569768931. The next prime is 561139569768971. The reversal of 561139569768960 is 69867965931165.

561139569768960 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 395 + 6 + 97 + 6 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a self number, because there is not a number n which added to its sum of digits gives 561139569768960.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2907458910624 + ... + 2907458910816.

It is an arithmetic number, because the mean of its divisors is an integer number (456814671588).

Almost surely, 2^{561139569768960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561139569768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315626254173440).

561139569768960 is an abundant number, since it is smaller than the sum of its proper divisors (2070112938577920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

561139569768960 is a wasteful number, since it uses less digits than its factorization.

561139569768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3968092800, while the sum is 81.

The spelling of 561139569768960 in words is "five hundred sixty-one trillion, one hundred thirty-nine billion, five hundred sixty-nine million, seven hundred sixty-eight thousand, nine hundred sixty".